Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
Cumulative Standards Review

Exercise 3 Page 819

A 90^(∘) rotation counterclockwise about the origin will change the coordinates of the vertices such that (a,b)→ (- b,a).

C

Practice makes perfect

Let's start by looking at the given triangle.

When a figure is rotated 90^(∘) counterclockwise about the origin, the coordinates of the image's vertices will change in the following way. (a,b)→ (- b,a) Using this rule and the vertices of the triangle, we can find the x- and y-coordinates of the rotated point F.

(a,b) (- b,a)
F(2,1) F'(- 1,2)

The obtained coordinates correspond to the option C.